Paul needs 2 1/4 yards of fabric to make a tablecloth. How many tablecloths can he make from 18 1/2 yards of fabric
To find out how many tablecloths Paul can make from 18 1/2 yards of fabric, we need to divide the total yards of fabric available by the yards needed for each tablecloth.
First, convert the mixed number, 18 1/2, to an improper fraction:
18 1/2 = (18 * 2 + 1) / 2 = 37/2
Now, we can calculate the number of tablecloths Paul can make:
Number of tablecloths = Total fabric available / Fabric needed per tablecloth
Number of tablecloths = (37/2) / (9/4)
To divide fractions, we multiply by the reciprocal of the divisor:
Number of tablecloths = (37/2) * (4/9)
Multiplying across:
Number of tablecloths = (37 * 4) / (2 * 9)
Number of tablecloths = 148 / 18
Simplifying the fraction:
Number of tablecloths = 8 4/18
Since this is an improper fraction, we can simplify it further:
Number of tablecloths = 8 2/9
Therefore, Paul can make 8 and 2/9 tablecloths from 18 1/2 yards of fabric.
To determine how many tablecloths Paul can make, we need to divide the total yardage of fabric he has by the yardage needed for one tablecloth.
First, let's convert both the fabric needed for one tablecloth and the total fabric Paul has into improper fractions:
2 1/4 yards is equal to (2 * 4 + 1) / 4 = 9/4 yards.
18 1/2 yards is equal to (18 * 2 + 1) / 2 = 37/2 yards.
Now, let's divide the total fabric Paul has by the fabric needed for one tablecloth:
(37/2) / (9/4) = (37/2) * (4/9) = (37 * 4) / (2 * 9) = 148/18.
The resulting fraction, 148/18, cannot be reduced further. Therefore, Paul can make 148/18 tablecloths from 18 1/2 yards of fabric.
To express the answer as a mixed number, divide the numerator (148) by the denominator (18):
148 ÷ 18 = 8, with a remainder of 4.
So, Paul can make 8 tablecloths, with 4/18 of a tablecloth remaining.
To simplify the fraction 4/18, divide the numerator and denominator by their greatest common divisor, which is 2:
4 ÷ 2 = 2.
18 ÷ 2 = 9.
Therefore, the simplified fraction is 2/9. This means Paul can make 8 tablecloths with 2/9 of a tablecloth remaining.
18.5/2.25 = 8.22
so eight